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Finding the Fourth Proportional to 15,214.70, 22,822.05 and 4,123.10

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Solution

The fourth proportional to 15,214.70, 22,822.05 and 4,123.10 is: 6,184.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214.70 : 22,822.05 = 4,123.10 : x
  2. Step 2: Convert to fraction form
    15,214.70/22,822.05 = 4,123.10/x
  3. Step 3: Cross multiply
    15,214.70x = 22,822.05 × 4,123.10
  4. Step 4: Simplify right side
    15,214.70x = 94,097,594.36
  5. Step 5: Solve for x
    x = 94,097,594.36/15,214.70
  6. Step 6: Final answer
    x = 6,184.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.